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arXiv · 0802.3872

On the endomorphisms of Weyl modules over affine Kac-Moody algebras at the critical level

Boris Feigin·Edward Frenkel·Leonid Rybnikov
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Abstract

We present an independent short proof of the main result of arXiv:0706.3725 that the algebra of endomorphisms of a Weyl module of critical level is isomorphic to the algebra of functions on the space of monodromy-free opers on the disc with regular singularity and residue determined by the highest weight of the Weyl module. We derive this from the results of arXiv:0712.1183 about the shift of argument subalgebras.

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Boris Feigin, Edward Frenkel, Leonid Rybnikov. 2009-01-30. On the endomorphisms of Weyl modules over affine Kac-Moody algebras at the critical level. https://doi.org/10.1007/s11005-009-0308-5

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